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Contact [7]
3 years ago
8

**FIRST CORRECT ANSWER GETS BRAINLEST**

Mathematics
1 answer:
puteri [66]3 years ago
7 0

Answer:

C.) y = 5/4 x

Step-by-step explanation:

5/4 multiplied by 0.4 is 0.5

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

8 0
3 years ago
Jamarius just filled up his SUV for $58.56. If he put 24 gallons of gas in the tank, what was the cost per gallon?
Kazeer [188]
Answer:

$2.44/gal

Explanation:

$58.56/24gallon/
6 0
2 years ago
A tv that normally cost $800
sukhopar [10]

what is the question it might be an Sony-75"

6 0
3 years ago
What’s the value of X In this????
kkurt [141]

Answer:

x = 68 degrees

Step-by-step explanation:

Step 1: We know this is a isosceles triangle

Since we know it is a isosceles triangle it has 2 of the same angle so the unknown side(not x) is 59

Step 2: Use the 2 angles to find 'x'

Angles in a triangle add up to 180 so we subtract 59 x 2 from 180 to get 68

Therefore angle x is 68 degrees

5 0
3 years ago
Read 2 more answers
How do I solve 34-5x+2(x-2)=15
LenKa [72]
34-5x+2(x-2)=15      1st get rid of () by distributing the 2.
34-5x+2x-4=15         Now collect like terms.
30-3x=15                  Get -3x by itself by subtracting 30 in both sides.
-3x=-15                     You want X by itself so divide by -3 on both sides.
x=5
8 0
3 years ago
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